Find the z-score for which 80% of the distribution's area lies to its right.

Q: A vertical line is drawn through a normal distribution at z = -1.20. What proportion of the…

A: Given - z = -1.20 Graph will look like and need to the shaded region -

Q: your score in the original distribution?

A: Since , the original distribution has a mean 35 and standard deviation is 8 Also , the new…

Q: What is the distribution of X? X - N What is the median seedless watermelon weight? What is the…

A: According to our guidelines we are solving only first three sub-parts of a question and rest parts…

Q: The time required for housekeeping to clean a hotel room for the next customer varies between 25 and…

A: Obtain the time that represents the 70th percentile of this distribution. The time that represents…

Q: What is the scale for the z-distribution?

A:

Q: The average retirement age in America is 65 years old. Do small business owners retire at an older…

A: c For the given sample values, x¯=68.0625, from the excel function, =AVERAGE(F1:F16)s=5.9830, from…

Q: For a normal distribution, the proportion of scores located between z = –0.70 and z = +0.70 is…

A: We have given that.    X~N( μ , ?^2 )    μ = 0    , ? = 1   Z-score =( x - μ )/?

Q: Mr. Green examines the Unit 1 Biology test scores in his class. The test scores are normall-…

A: The z-score is known as the standard score.

Q: A z-score of z= +2.00 indicates a position in a distribution that is located

A: The positive sign indicates that it lies above the mean and value 2 indicates that it is above the…

Q: Use the standand normal distribution table to determine the percent of data less than z=0.9. The…

A: Given that  Z follows standard normal distribution with mean zero and standard deviation one  Find…

Q: For a distribution of scores, the location identified by z = +1.00 and the location identified by z…

A: here use basic of Normal Distribution

Q: Which of the following is closest to the shaded area under the normal distribution curve shown?

A: The area under the curve is less than 2 standard deviations away from the mean. Thus, around 97.5%…

Q: The middle 20% of a normal distribution is located between z = –0.25 and z = +0.25. True or false

A:

Q: Find the z-score for which 80% of the distribution's area lies to its right.

A:

Q: The tail is on the right side of a normal distribution for any z-score value greater than zero. True…

A: We want to tell the above statement is true/false.

Q: In a normal distribution, percent of the data are above the mean, and percent of the data are below…

A: Empirical rule: For a normal distribution, the approximate values that fall in the specified…

Q: What is a t distribution? What is the difference between Z and t distribution?

A: Given, t and z distribution. t- distribution is defined as when population are  normally distributed…

Q: Select the z-score that is represented by the shaded region of the distribution. Z O O -0.25 O-1.50…

A: we have to  find  z score....

Q: For a normal distribution, identify the z-score location that would seperate the distribution into…

A: Given information a) 20% in the tail on the right-hand side means P (Z > z) = 0.20 P (Z < z) =…

Q: For a normal distribution: a. What z-score separates the highest 35% from the rest of the scores? b.…

A:

Q: A vertical line is drawn through a normal distribution at z- 1.20. What proportion of the…

A: Given, A vertical line is drawn through a normal distribution at z=1.20.

Q: For a normal distribution, find the z-score that cuts off the top 70.71% of area. Round to 2 decimal…

A:

Q: If the weights are normally distributed, what is the z-score with a weight of 63?

A: Given Information:Mean, μ=70 kgStandard Deviation, σ=6 kg

Q: A score below which a specific percentage of a distribution falls is referred to as the a) Mode b)…

A: Solution: Here, it is to find which definition belongs to a statement “a score below which a…

Q: isn't it should use the normal table to find z value?

A:

Q: In a normal distribution, what z-score cuts off the top 95% of the distribution? z = 1.65…

A: Given Top 95 % distribution

Q: The weights (in pounds) of seven shipments ofbolts are 37 45 11 51 13 48 61 Make a normal-scores…

A: The weights given are n = 7

Q: The t distribution is taller and thinner (more concentrated around the mean) than the Z…

A: It is known that, t and z, both of the distributions are symmetric and bell shaped.

Q: In a positively skewed distribution, the mean is larger than the median and the median is larger…

A: We know that of the three statistics, the mean is the largest, while the mode is the smallest.  If…

Q: Find the z-score boundaries that divide a normal distribution as described in the following. The…

A: Solution: From the given information, 20% area lies in the middle of the normal distribution and 80%…

Q: For a normal distribution, the z-score boundary that separates the lowest 33% of the scores from the…

A: We have to find the Z-score boundary that separates the lowest 33%

Q: Estimate the mean of the distribution.

A: From the given histogram, we are considering the approximate frequency values: Class interval…

Q: For the distribution (-1,0,1), what is the sample variance?

A:

Q: Find the z-score boundaries that divide a normal distribution as described in the following. The…

A: Solution: From the given information, 70% area lies in the middle of the normal distribution and 30%…

Q: What is the percentile under the t-distribution at a=1% and n = 18 under the one-tailed test?

A:

Q: Use the table below to find the percentage of data items in a normal distribution that lie a. below…

A: The given normal distribution table is, From the table, (a) The percentage of data items that lie…

Q: Which is correct for a distribution that is skewed to the left?

A:

Q: When the z-score value in a normal distribution is negative, the body is on the left-hand side of…

A: As if z score is negative, which means that area to left will be smaller and therefore tail will be…

Q: Find the z-score location of a vertical line that separates a normal distribution as described in…

A:

Q: What is the z-score of the 31st percentile?

A: The z-score for the 31st percentile is the value such that 31% of the area under the standard normal…

Q: Find an approximate z score corresponding to a percentile of 0.33 to its RIGHT.

A: The approximate percentile to the right of 0.33 is 0.67.

Q: The mean is the 50th percentile of any normal distribution.  True  False

A: The mean is the 50th percentile of any normal distribution.

Q: For a normal distribution, find the z-score that cuts off the bottom 85.76% of all the z-scores.…

A: I have Provided this answer in Step-2.

Q: Find the value of t0.005t0.005 for a tt-distribution with 5050 degrees of freedom. Round your answer…

A: From the provided information, The level of significance (α) = 0.005 Degrees of freedom = 50

Q: What is the shape of the t-distribution, and how does it change when n increases or decreases?

A: The shape t- distribution is bell shaped and it is also symmetric.

Q: How does the t distribution differ from the Z distribution?

A: The t distribution and Z distribution are both symmetric distribution about their means.

Q: What happens to the t-distribution as the sample size increases?

A: As we know that the t-distribution is affected by the sample size. As sample size increases the…

Q: Sketch the normal distribution with a. µ = -2 and σ = 2.b. µ = -2 and σ = 1/2.c. µ = 0 and σ = 2.

A: (a)Sketch the normal distribution having the mean is –2 and standard deviation is 2 is as follows:

Q: What are the percentages of scores that fall between a)-1 and 0/0 and 1 b) -1 and -2/1 and 2)c in…

A: Given Empirical rule: For a normal distribution, 68% of values fall within 1 standard deviation of…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.